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3 years ago

What is the measure of c? a = 15 j = 24 k = 32

Mathematics

1 answer:

inessss [21]3 years ago

4 0

Answer:

The answer to your question is c = 20

Step-by-step explanation:

Data

a = 15

j = 24

k = 32

c = ?

Process

Use proportions to solve this problem. Compare the small triangle and the large triangle.

1.- Proportion of the small triangle

c/15

2.- Proportion of the large triangle

k/j

3.- Equal but terms and solve for c

c/15 = k/j

-Substitution

c / 15 = 32/24

c = 32(15)/24

-Result

c = 20

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Find the following when a = -1, b = 2, c = -1/4<br> (4b - 3)/(2a) -1

Katena32 [7]

We substitute the given into the equation
given: a=-1, b=2, c= $\frac{-1}{4}$
=( $\frac{4b-3}{2a}$ -1
= $\frac{4(2)-3}{2(-1)}$ -1
= $\frac{8-3}{-2}$ -1
= $\frac{5}{-2}$ -1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
$\frac{5}{-2}$ =-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
= $\frac{5}{-2}$ $\frac{-1}{1}$ × $\frac{-2}{-2}$ (denominator should be -2=common)
= $\frac{5}{-2}$ + $\frac{2}{-2}$
= $\frac{7}{-2}$
which also = to -3.5

3 0

3 years ago

Say your car doesn’t run on straight gasoline and you have to mix the oil with gas together in a specific ratio of 2.4 fl oz of

Lapatulllka [165]

Answer:

3.6 fl oz

Step-by-step explanation:

figure out the percentage of the gallon that was used in the original ratio, in this case 1 that was used in 1.5. thats 150%

so no multiply 2.4 by 1.5 to get 3.6

to check work divide both ratios and see if its the same number (i checked)

5 0

3 years ago

Please help I have spent hours trying to do...

Igoryamba

Answer:

914.4 mm
0.0479594 km

Step-by-step explanation:

For units conversion, use a conversion factor ratio with the units you do want in the numerator and the units you don't want in the denominator. The numbers in the numerator and denominator give the ratio a value of 1: the numerator is equal to the denominator--just in different units.

1. For feet to mm, you need a couple of additional conversion factors besides the ones shown:

1 foot = 12 in

1 cm = 10 mm

So, the conversion is ...

$(3\text{ ft})\times\dfrac{12\text{ in}}{1\text{ ft}}\times\dfrac{2.54\text{ cm}}{1\text{ in}}\times\dfrac{10\text{ mm}}{1\text{ cm}}=3\times12\times2.54\times10\text{ mm}\\\\=\boxed{914.4\text{ mm}}$

2. The additional factor you need for this problem is ...

1 mile = 5280 feet

So, the conversion is ...

$(157\text{ ft})\times\dfrac{1\text{ mi}}{5280\text{ ft}}\times\dfrac{1\text{ km}}{0.62\text{ mi}}=\dfrac{157}{5280\times0.62}\text{ km}\\\\\approx\boxed{0.0479594\text{ km}}$

_____

<em>Additional comment</em>

You can use Google to do units conversion by typing "3 feet to mm" or "157 feet to km". However, the conversion factor for the latter will be more exact than the one given in this problem. Hence the Google answer to the second question will not be applicable here.

7 0

3 years ago

6. rule (x,y) ---> is the image similar to the original pre-image?

Artyom0805 [142]

Here, we want to check for the relationship between the image and its pre-image

The pre-image is (x,y)

The image is (3x,3y+5)

As we can see, the pre-image is not similar

This is because the transformation applied to the two values are not same

Thus, we have that;

No, the image is not similar to the pre-image as the translations applied to both coordinates are not same

The pre-image was transformed by dilating the x-coordinate of the pre-image by 3 units while the y-coordinate was transformed by dilating the y-coordinate of the pre-image by 3 and translating it upward by 5 units

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1 year ago

What shapes r these? I got the last one

Anuta_ua [19.1K]

Answer:

6 sides = hexagon

5 sides = pentagon

10 sides = decagon

6 0

3 years ago